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Finding the Fourth Proportional to 669.64, 924.12 and 407.68

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Solution

The fourth proportional to 669.64, 924.12 and 407.68 is: 562.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.64 : 924.12 = 407.68 : x
  2. Step 2: Convert to fraction form
    669.64/924.12 = 407.68/x
  3. Step 3: Cross multiply
    669.64x = 924.12 × 407.68
  4. Step 4: Simplify right side
    669.64x = 376,745.24
  5. Step 5: Solve for x
    x = 376,745.24/669.64
  6. Step 6: Final answer
    x = 562.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.